A given sample of a xenon fluoride compound contains molecules of a single type XeFn, where n is some whole number. Given that 8.06  1020 molecules of XeFn weigh 0.227 g, calculate n.

Respuesta :

Answer: The value of n =2.

Explanation:

According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

To calculate the moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given molecules}}{\text {Avogadro's number}}=\frac{8.06\times 10^{20}}{6.023\times 10^{23}}=0.0013moles[/tex]

0.0013 moles of [tex]XeF_n[/tex] weigh = 0.227 grams

Thus 1 mole of [tex]XeF_n[/tex]  will weigh = [tex]\frac{0.227}{0.0013}\times 1=174.62[/tex]  grams

Molar mass of [tex]XeF_n[/tex] = [tex]1(131.3)+n(19)=174.62[/tex]

[tex]n=2[/tex]

Thus the value of n =2